Answer:
[tex]0.0427~%[/tex]
Explanation:
In this question, we have to start with the calculation of the amount of drug in each powder:
Powder A: Total mass of 0.5 Kg percentage of 0.038%
[tex]0.5~Kg~of~powder\frac{0.038}{100}=0.00019~Kg~of~drug[/tex]
Powder B: Total mass of 10 Kg percentage of 0.043%
[tex]10~Kg~of~powder\frac{0.043}{100}=0.0043~Kg~of~drug[/tex]
The total mass of powder would be:
[tex]10+0.5=10.5~Kg[/tex]
The total mass of drug would be:
[tex]0.0043+0.00019=0.00449~Kg[/tex]
Now we can calculate the percentage:
[tex]\frac{0.0043Kg}{10.5Kg}*100=0.0427%[/tex]
I hope it helps!
